AQs vs AJs: preflop equity

The exact count puts AQs at 70.82% and AJs at 29.18% when the two hands see all five board cards.

AQs

70.82%

Wins 68.17%, ties 5.29%

AJs

29.18%

Wins 26.54%, ties 5.29%

Equity counts a tie as half a win. Exact over every board.

AQs against AJs: the numbers

Exact preflop results for AQs against AJs, in percent
HandWinsTiesLosesEquity
AQs68.1725.28626.54270.815
AJs26.5425.28668.17229.185

AQs meets AJs, and both are suited hands. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.

AQs is the clear favorite, though AJs gets there on roughly one board in 3. About 5.29% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

AQs ranks number 10 of 169 starting hands, and AJs ranks number 11, by equity against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AQs14,008,0001,086,0005,454,000
AJs5,454,0001,086,00014,008,000

12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

AQs against AJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQs2.4261.4673.7680.412
AJs0.4123.7681.4672.426

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

The flop changes the picture. AQs does best on low rainbow flops (nine high or lower), at 82.04%, and worst on monotone flops, at 64.35%. AQs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AQs against AJs by flop texture, in percent
FlopShare of flopsAQs winsTiesAJs winsAQs equity
Rainbow, ten or higher23.13868.9063.01928.07570.416
Rainbow, nine or lower7.77179.4825.11715.40182.040
Two-tone46.54368.6743.22028.10670.284
Monotone5.21561.7645.17233.06464.350
Paired17.33362.70213.96723.33169.686

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Against one random hand instead, AQs holds 66.21% and AJs holds 65.39%. Facing each other changes that by +4.61 points for AQs and -36.21 points for AJs.

AQs and AJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQs, all flops70.81566.209+4.6061.06957
AQs, rainbow, ten or higher70.41666.209+4.2071.06354
AQs, rainbow, nine or lower82.04066.209+15.8311.23911
AQs, two-tone70.28466.209+4.0751.06155
AQs, monotone64.35066.209-1.8590.97192
AQs, paired69.68666.209+3.4771.05252
AJs, all flops29.18565.393-36.2080.44630
AJs, rainbow, ten or higher29.58465.393-35.8090.45240
AJs, rainbow, nine or lower17.96065.393-47.4330.27465
AJs, two-tone29.71665.393-35.6770.45442
AJs, monotone35.65065.393-29.7430.54517
AJs, paired30.31465.393-35.0790.46357

Does a shared suit matter?

Suits do not split this matchup, because no legal deal has the hands holding the same suit.

AQs against AJs by suit overlap, in percent
DealsSpecific dealsShare of dealsAQs winsTiesAJs winsAQs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0068.1725.28626.54270.815

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are AQs against AJs, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQs' average share is $141.64 (a gain of $41.64) and AJs' is $58.36 (a loss of $41.64).

Scaled to 1,000 deals, that is roughly 682 wins for AQs, 265 for AJs and 53 chopped pots.

The same matchup from the other side

The reversed view, AJs against AQs, shows 29.18% for AJs and 70.82% for AQs. It is the same count, so it redirects here.

AsQs against AhJh is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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